Solve the problem.An exterminator activates an aerosol "fogger" in a large auditorium. The concentration of insecticide immediately afterwards can be modeled by the function C(x, y, z) = -0.0001 ln,where x, y, and z are measured in feet from a particular floor-level corner of the room. To escape the insecticide, a flying insect located at  needs to fly immediately in the direction of greatest decrease in concentration. Find the unit vector indicating the direction the insect should fly.

A. u = 
B. u = 
C. u = 
D. u = 


Answer: C

Mathematics

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.y = 8x2, y = 8

A. ?
B. 96?
C. ?
D. ?

Mathematics

A metal bar is heated and then placed on a workbench for bending. The temperature B, in degrees Fahrenheit, t minutes after heat is applied is given by . ? The bar can be worked so long as its temperature is higher than 440 degrees.  For what values of t is the bar suitable for working? Round your answer to two decimal places. ?

A.  minutes
B.  minutes
C.  minutes
D.  minutes

Mathematics

Write an equation for the graph of the sine or cosine curve.

A. y = 3 cos 
B. y = 3 cos 
C. y = 3 cos 
D. y = 3 cos 

Mathematics

Use the periodic compound interest formula to solve the problem.Find the amount in a savings account at the end of 8 years if the amount originally deposited is $8000 and the interest rate is 7% compounded monthly. Round to the nearest cent.

A. $8381.05 B. $13,982.61 C. $772,480.00 D. $15,380.87

Mathematics